An Introduction To Projective Geometry (1908) - Softcover

Filon, Louis Napoleon George

Softcover

ISBN 10: 1120151929 ISBN 13: 9781120151926

Verlag: Kessinger Publishing, LLC, 2009

Inhaltsangabe

""An Introduction to Projective Geometry"" is a book written by Louis Napoleon George Filon and first published in 1908. The book is a comprehensive guide to the study of projective geometry, a branch of mathematics that deals with the properties of objects that remain unchanged when viewed from different perspectives. The book begins with an introduction to the basic concepts of projective geometry, including points, lines, planes, and conics. It then goes on to cover more advanced topics such as projective transformations, cross-ratios, and the duality principle. The author uses clear and concise language to explain complex mathematical concepts, making the book accessible to both students and professionals. The book also includes numerous examples and exercises to help readers practice and reinforce their understanding of the material. Overall, ""An Introduction to Projective Geometry"" is a valuable resource for anyone interested in the study of projective geometry, from beginners to advanced practitioners.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world’s literature in affordable, high quality, modern editions, that are true to their original work.

Über diesen Titel

Reseña del editor

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

Reseña del editor

Conic Sections on modern lines. During recent years increasing space has been allowed, in University syllabuses and courses of instruction, to the more powerful and general projective methods, as opposed to the more special methods of wdiat is still known as Geometrical Conies. The line of cleavage between the two has, however, been sharply maintained, with the result that the already much overworked mathematical student has to learn his theory of Conic Sections three times over: (1) analytically; (2) according toE uclidean methods; (3) according toP rojective methods. The difficulty has been to reconcile theE uclidean and Projective definitions of the curve; in fact to bring in the focal properties into Projective Geometry at a sufficiently early stage. The practice has usually been, in order to pass from the projective to the focal definitions, to introduce the theory of involution. But the latter requires for its fullest and clearest treatment the employment of imaginary elements. It seems undesirable that the more fundamental focal properties of the conies, e.g. the sum or difference of the focal distances and the angles made by these with the tangent and normal, should appear to depend upon properties of imaginary points and lines, even though this might introduce greater rapidity of treatment. The University of London has recognized this, for, while admitting Projective Geometry into its syllabuses for the Final Examination for a Pass Degree, it has excluded involution. Many teachers have felt that this exclusion amounted to a rigorous enforcement of the line of cleavage mentioned above. In the present book the difficulty has been met, it is hoped, successfully.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mytholo

Details zur Ausgabe

• Verlag: Kessinger Publishing, LLC
• Erscheinungsdatum: 2009
• Sprache: Englisch
• ISBN 10: 1120151929
• ISBN 13: 9781120151926
• Einband: Tapa blanda
• Anzahl der Seiten: 264
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar